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2 years ago

Pls help me with number

Mathematics

1 answer:

vredina [299]2 years ago

7 0

Answer:

Total people = 240

Step-by-step explanation:

Let the total number of people by 'x'.

$\sf \text{Number of men =$ \dfrac{1}{4}*x$} \\$

$\sf \text{Number of women =$\dfrac{1}{3}x$}$

Number of children = 100

When we subtract the total number of men and women from the total people 'x', we get the number of children.

$\sf x - \left(\dfrac{1}{4}x+\dfrac{1}{3}x\right)= 100\\\\x - \left(\dfrac{1*3}{4*3}x+\dfrac{1*4}{3*4}x\right)=100\\\\$

$x- \dfrac{4+3}{12}x=100\\\\x - \dfrac{7}{12}x = 100\\\\ \dfrac{12}{12}x-\dfrac{7}{12}x = 100\\\\ \dfrac{5}{12}x=100\\$

$\sf x = 100*\dfrac{12}{5}\\$

x = 20 * 12

x = 240

<h3> Total number of people = 240</h3>

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How to find anti logarithm of<br>a number in a<br>given base 10

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Answer:

The antilog of any number is just the base raised to that number.So antilog 10(3.5)=10(3.5)=3,162.3.

Step-by-step explanation:

This applies to any base;for example,antilog73=73 =343.

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3 years ago

3. Derek throws a baseball upward from an initial height of 3 ft. The baseball hits the ground after 2 seconds.

mariarad [96]

Answer with Step-by-step explanation:

Since we have given that

Initial height = 3 feet

The baseball hits the ground after 2 seconds

t = 2 seconds

So, final velocity = v = 0

a. What was the initial velocity of the baseball?

Initial velocity is given by

$v_0=\dfrac{3}{2}=1.5\ ft/sec$

b. What is the function that models the height, ℎ (in feet), of the baseball over a period of time tt (in seconds)?

As we know that the function of height would be

$h(t)=-16t^2+v_0t+h_0$

Here, $h_0$ is the initial height.

So, our function becomes,

$h(t)=-16t^2+1.5t+3$

c. At what time did the baseball reach its maximum height? What was the maximum height of the baseball?

Maximum height at time t:

$t=\dfrac{-b}{2a}=\dfrac{-1.5}{2\times -16}=\dfrac{1.5}{32}\approx 0.05\ seconds$

Maximum height would be

$h(0.05)=-16(0.05)^2+1.5\times 0.05+3=3.035\ ft$

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3 years ago

What is the coefficient of the variable in the expression 2 - 5x – 4 + 8?

Natalija [7]

Answer:

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Step-by-step explanation:

The coefficient is the number attached to the variable.

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3 years ago

In the 1980’s, a clinical trial was conducted to determine if taking an aspirin daily reduced the incidence of heart attacks. Of

zubka84 [21]

There is enough evidence to conclude that taking aspirin cannot reduces the chance of cancer.

Given sample size of patients take aspirin 11037, sample size of patients who have assigned placebo group be 11034. 104 doctors who take aspirin had a heart attack, 189 doctors had placebo had heart attacks.

First we have to form hypothesis.

$H_{0} :p{1} -p_{2} =0$

$H_{1}:p_{1} -p_{2} < 0$

We have to find the respective probabilities.

$p_{1}$ =104/11037

=0.0094

$p_{2}$ =189/11034

=0.0171

Now their respective margin of errors.

$s_{1}$ = $\sqrt{ {(0.0094*0.9906)/11037}$

=0.0009

$s_{2}$ = $\sqrt{0.0171*0.9829}$

=0.0011

Hence the distribution of the differences,they are given by:

p= $p_{1} -p_{2}$

=0.0094-0.0171

=-0.0077

S= $\sqrt{s_{1} ^{2}+s_{2} ^{2} }$

= $\sqrt{(0.0009)^{2} +(0.0011)^{2} }$

=0.00305

z=(p -f)/S (In which f=0 is the value tested at the null hypothesis)

=(-0.0077-0)/0.00305

=-2.52

p value will be 0.005.

p value of 0.05 significance level.

z=1.96.

1.96>0.005

So we will reject the null hypothesis which means it cannot reduce the whole chance of becomming a heart attack.

Hence there is enough evidence to conclude that taking aspirin cannot reduces the chance of cancer.

Learn more about t test at brainly.com/question/6589776

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2 years ago

Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey

victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

She is standing 48 feet in front of Lester
Carey is sitting to Lester's right
Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

$(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}$

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

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8 0

3 years ago